There are no codimension 1 linear isometries on the ball and polydisk algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 0994.32004
author: Kazuhiro Kasuga
publication date: 2002-10-10T00:00:00Z
Mathematics Subject Classification ID: 32A38
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 32D15
zbMATH DE Number: 1679389
zbMATH Keywords: no codimension 1 linear isometries
zbMATH Keywords: unit ball
zbMATH Keywords: unit polydiscs
MaRDI profile type: Publication
title: There are no codimension 1 linear isometries on the ball and polydisk algebras
published in: Scientiae Mathematicae Japonicae
review text: Let \(B_n\) be the open unit ball in \(\mathbb{C}^n\) and \(S_n\) be the boundary. Let \(A(S_n)\) be the space of all complex valued continuous functions on \(S\) which can be extended holomorphically to \(B_n\).NEWLINENEWLINENEWLINEThe main result of this paper is to show that \(A(S_n)\) does not admit codimension 1 linear isometries for all \(n>1\). Also similar results will hold for unit polydiscs.
reviewed by: Tan Vovan
description: scientific article; zbMATH DE number 1679389